Information on Result #1722820
Digital (119, 135, 2468410)-net over F5, using net defined by OOA based on linear OOA(5135, 2468410, F5, 21, 16) (dual of [(2468410, 21), 51836475, 17]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(5135, 7405231, F5, 3, 16) (dual of [(7405231, 3), 22215558, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5135, 7405232, F5, 3, 16) (dual of [(7405232, 3), 22215561, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5135, 7405232, F5, 16) (dual of [7405232, 7405097, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(5135, large, F5, 16) (dual of [large, large−135, 17]-code), using
- 14 times code embedding in larger space [i] based on linear OA(5121, large, F5, 16) (dual of [large, large−121, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- 14 times code embedding in larger space [i] based on linear OA(5121, large, F5, 16) (dual of [large, large−121, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(5135, large, F5, 16) (dual of [large, large−135, 17]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5135, 7405232, F5, 16) (dual of [7405232, 7405097, 17]-code), using
- discarding factors / shortening the dual code based on linear OOA(5135, 7405232, F5, 3, 16) (dual of [(7405232, 3), 22215561, 17]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.